Image restoration using an estimated Markov model

作者: Bernard Chalmond

DOI: 10.1016/0165-1684(88)90065-5

关键词: Iterative reconstructionMarkov random fieldImage processingMathematicsGaussian noiseSpeech recognitionNoiseAlgorithmMarkov modelWhite noiseImage restoration

摘要: Abstract We deal with the restoration of grey level images corrupted by additive independent Gaussian noise. The noise variance is unknown but a signal-to-noise ratio must be given. start technique proposed S. Geman and D. [1]. spatial interaction described Markov Random Field whose energy chosen in order to preserve edges. This parameterised. An estimation method parameters that performed before restoration. whole procedure illustrated on simulated Nuclear Magnetic Resonance images.

参考文章(13)
David Griffeath, Introduction to Random Fields Springer New York. pp. 425- 458 ,(1976) , 10.1007/978-1-4684-9455-6_12
Julian Besag, On the statistical analysis of dirty pictures Journal of the royal statistical society series b-methodological. ,vol. 48, pp. 259- 279 ,(1986) , 10.1111/J.2517-6161.1986.TB01412.X
George Wolberg, Theo Pavlidis, Restoration of binary images using stochastic relaxation with annealing Pattern Recognition Letters. ,vol. 3, pp. 375- 388 ,(1985) , 10.1016/0167-8655(85)90024-8
Stuart Geman, Donald Geman, Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. PAMI-6, pp. 721- 741 ,(1984) , 10.1109/TPAMI.1984.4767596
Demetri Terzopoulos, Multilevel computational processes for visual surface reconstruction Graphical Models \/graphical Models and Image Processing \/computer Vision, Graphics, and Image Processing. ,vol. 24, pp. 52- 96 ,(1983) , 10.1016/0734-189X(83)90020-8
J. Woods, Two-dimensional discrete Markovian fields IEEE Transactions on Information Theory. ,vol. 18, pp. 232- 240 ,(1972) , 10.1109/TIT.1972.1054786
George R. Cross, Anil K. Jain, Markov Random Field Texture Models IEEE Transactions on Pattern Analysis and Machine Intelligence. ,vol. PAMI-5, pp. 25- 39 ,(1983) , 10.1109/TPAMI.1983.4767341
P. WHITTLE, ON STATIONARY PROCESSES IN THE PLANE Biometrika. ,vol. 41, pp. 434- 449 ,(1954) , 10.1093/BIOMET/41.3-4.434
Julian Besag, Spatial Interaction and the Statistical Analysis of Lattice Systems Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 36, pp. 192- 225 ,(1974) , 10.1111/J.2517-6161.1974.TB00999.X
R. Kashyap, R. Chellappa, Estimation and choice of neighbors in spatial-interaction models of images IEEE Transactions on Information Theory. ,vol. 29, pp. 60- 72 ,(1983) , 10.1109/TIT.1983.1056610